3642546040 has 64 divisors (see below), whose sum is σ = 9383362560. Its totient is φ = 1246631040.

The previous prime is 3642546023. The next prime is 3642546049. The reversal of 3642546040 is 406452463.

It is a junction number, because it is equal to n+sod(n) for n = 3642545987 and 3642546005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642546049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148489 + ... + 171271.

It is an arithmetic number, because the mean of its divisors is an integer number (146615040).

Almost surely, 2^3642546040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642546040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691681280).

3642546040 is an abundant number, since it is smaller than the sum of its proper divisors (5740816520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3642546040 is a wasteful number, since it uses less digits than its factorization.

3642546040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23372 (or 23368 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The square root of 3642546040 is about 60353.5089286447. The cubic root of 3642546040 is about 1538.6329071849.

The spelling of 3642546040 in words is "three billion, six hundred forty-two million, five hundred forty-six thousand, forty".